Areas of Parallelograms and Triangles For 9th Class

1. A diagonal of a parallelogram divides it into two triangles of equal area.

Areas of Parallelograms and Triangles

2. Parallelograms on the same base and between the same parallels are equal in area.

Areas of Parallelograms and Triangles

3. A parallelogram and a rectangle on the same base and between the same parallels are equal in area.

Areas of Parallelograms and Triangles

4. Area of a parallelogram = Base × Height

Areas of Parallelograms and Triangles

5. Parallelograms on equal bases and between the same parallels are equal in area.

Areas of Parallelograms and Triangles

6. Triangle on the same base and between the same parallels are equal in area.

Areas of Parallelograms and Triangles

7. Area of Triangle = ½ × base × height

Areas of Parallelograms and Triangles

8. If a triangle and a parallelogram are on the same base and between the same parallels , then the area of the triangle is equal to half the area of the parallelogram.

Areas of Parallelograms and Triangles

9.  Area of Trapezium = 1/2 (sum of the parallel side) × (distance between them)

Areas of Parallelograms and Triangles

10. Area of a rhombus = 1/2 × Product of the diagonals

Areas of Parallelograms and Triangles

11. If two triangles have equal area and one side of the one triangle is equal to one side of the other then their corresponding altitudes are equal.

Areas of Parallelograms and Triangles

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